Steps to find Prime Factors of 777 by Division Method

To find the primefactors of 777 using the division method, follow these steps:

  • Step 1. Start dividing 777 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 777, which is 3. Divide 777 by 3 to obtain the quotient (259).
    777 ÷ 3 = 259
  • Step 3. Repeat step 1 with the obtained quotient (259).
    259 ÷ 7 = 37
    37 ÷ 37 = 1

So, the prime factorization of 777 is, 777 = 3 x 7 x 37.

Steps to find Prime Factors of 777 by Factor Tree Method

We can follow the same procedure using the factor tree of 777 as shown below:

So, the prime factorization of 777 is, 777 = 3 x 7 x 37.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 777 are 3 x 7 x 37.

Properties of Prime Factors

  • Prime factors are the set of factors that are unique to the number given.
  • 2 is the only even prime factor any number can have.
  • Two prime factors are always coprime to each other.
  • 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 777 but not a prime factor of 777.

Frequently Asked Questions

  • Which is the smallest prime factor of 777?

    Smallest prime factor of 777 is 3.

  • What is the prime factorization of 777?

    Prime factorization of 777 is 3 x 7 x 37.

  • What is prime factorization of 777 in exponential form?

    Prime factorization of 777 in exponential form is 3 x 7 x 37.

  • Is 777 a prime number or a composite number?

    777 is a composite number.

  • Is 777 a prime number?

    false, 777 is not a prime number.

  • How to find prime factorization of 777 easily?

    To find prime factorization of 777 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 777?

    The largest prime factor of 777 is 37.

  • What is the product of all prime factors of 777?

    Prime factors of 777 are 3 x 7 x 37. Therefore, their product is 777.

  • What is the sum of all odd prime factors of 777?

    Prime factors of 777 are 3 , 7 , 37, out of which 3 , 7 , 37 are odd numbers. So, the sum of odd prime factors of 777 is 3 + 7 + 37 = 47.